Stone–Wales defects preserve hyperuniformity in amorphous two-dimensional networks

Duyu Chen, Yu Zheng, Lei Liu, Ge Zhang, Mohan Chen, Yang Jiao, Houlong Zhuang

Research output: Contribution to journalArticlepeer-review

27 Scopus citations


Disordered hyperuniformity (DHU) is a recently discovered novel state of many-body systems that possesses vanishing normalized infinite-wavelength density fluctuations similar to a perfect crystal and an amorphous structure like a liquid or glass. Here, we discover a hyperuniformity-preserving topological transformation in two-dimensional (2D) network structures that involves continuous introduction of Stone–Wales (SW) defects. Specifically, the static structure factor S(k) of the resulting defected networks possesses the scaling S(k) ∼ kα for small wave number k, where 1 ≤ α(p) ≤ 2 monotonically decreases as the SW defect concentration p increases, reaches α ≈ 1 at p ≈ 0.12, and remains almost flat beyond this p. Our findings have important implications for amorphous 2D materials since the SW defects are well known to capture the salient feature of disorder in these materials. Verified by recently synthesized single-layer amorphous graphene, our network models reveal unique electronic transport mechanisms and mechanical behaviors associated with distinct classes of disorder in 2D materials.

Original languageEnglish (US)
Article numbere2016862118
JournalProceedings of the National Academy of Sciences of the United States of America
Issue number3
StatePublished - Jan 19 2021


  • 2D materials
  • Disordered hyperuniformity
  • Stone–Wales transformation

ASJC Scopus subject areas

  • General


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